Question

Solve: 14 3 + 3 1 1 - 2 / 2 = y + 2 / 2 + 16

Answer 1

To solve this expression, we can proceed as follows:

`(y)/(3)+(8y)/(4)-(3)/(6)=y+(7)/(2)`

We can find the least common multiple of (3, 4, and 6). It is 12, to have a common fraction in the first member of the equation.

`(4y+24y-6)/(12)=y+(7)/(2)\Rightarrow4y+24y-6=12\cdot(y+(7)/(2))`

Then, adding the like terms:

`28y-6=12y+42\Rightarrow28y-12y=42+6\Rightarrow16y=48\Rightarrow y=(48)/(16)\Rightarrow y=3`

Then, the value for y = 3 (First option).